Multiplication and division - Related Calculations - Presentation

In a series of engaging mathematics lessons, students are introduced to the concept of related calculations in the context of multiplication and division. The premise of the lesson is to strengthen the understanding that knowledge of one multiplication fact can unlock the answers to related calculations. Using the stem sentence "If I know… then I know…," students explore the concept of related facts, which are essentially mathematical equations that share a common relationship. For example, if a student knows that 2 x 6 equals 12, they can deduce that 2 x 60 equals 120. This approach encourages students to see patterns and connections within numbers, facilitating a deeper comprehension of the number system and its operations.

The lesson includes a variety of activities that require students to complete multiplication facts and use place value counters to visualise and solve problems. In one activity, students compare the similarities and differences between the place value counters, while in another, they complete fact families based on known multiplication facts, such as if 2 x 7 equals 14, then 2 x 70 equals 140. These exercises not only reinforce their multiplication skills but also enhance their division proficiency. Students are challenged to reason and prove their answers, fostering critical thinking skills. The lesson concludes with independent work where students use representations to complete calculations and discuss their findings, ensuring they can apply their knowledge in various contexts and solidify their understanding of related calculations.